Research Interests
My research interest is broadly speaking analysis (geometric functional inequalities and spectral theory especially) on nilpotent Lie groups.
I'm currently interested in Hardy and isoperimetric inequalities.
Preprints (reverse chronologically ordered)
8. Almost isoperimetric extremisers for two classes of subriemannian probability measures
submitted, (arXiv)
7. Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups
submitted, (arXiv)
6. Spectral gap inequalities on nilpotent Lie groups in infinite dimensions
with E. B. Dagher, B. Zegarliński, and M. Zhang, submitted, (arXiv)
5. $L^2$-stability for the variance Brascamp-Lieb inequality
with K. J. Böröczky and C. Roberto, to appear in Proc. Amer. Math. Soc. (arXiv)
4. On the Bakry-Émery calculus perturbed by a multiplication operator
with C. Roberto and B. Zegarliński, to appear in a special issue of Ann. Fac. Sci. Toulouse (arXiv)
3. A note on the Pleijel theorem for $H$-type groups
Complex Anal. Oper. Theory 20, 119 (2026) (journal) (arXiv)
2. A Bakry-Émery criterion for weighted contractivity and $L^2$-Hardy inequalities
Commun. Contemp. Math. Vol. 27, No. 04, 2450023 (2025) (journal) (arXiv)
1. Weyl asymptotics for functional difference operators with power to quadratic exponential potential
Proc. Amer. Math. Soc. 152 (2024), 3339-335 (journal) (arXiv)